Coding Theorems of Quantum Information Theory
摘要
Coding theorems and (strong) converses for memoryless quantum communication channels and quantum sources are proved: for the quantum source the coding theorem is reviewed, and the strong converse proven. For classical information transmission via quantum channels we give a new proof of the coding theorem, and prove the strong converse, even under the extended model of nonstationary channels. As a by-product we obtain a new proof of the famous Holevo bound. Then multi-user systems are investigated, and the capacity region for the quantum multiple access channel is determined. The last chapter contains a preliminary discussion of some models of compression of correlated quantum sources, and a proposal for a program to obtain operational meaning for quantum conditional entropy. An appendix features the introduction of a notation and calculus of entropy in quantum systems.
引用
@article{arxiv.quant-ph/9907077,
title = {Coding Theorems of Quantum Information Theory},
author = {Andreas Winter},
journal= {arXiv preprint arXiv:quant-ph/9907077},
year = {2007}
}
备注
80 pages, Ph.D. dissertation, Uni Bielefeld